A new complex integral transformation and its applications

This thesis consists of seven sections. A literature review, including differential equations and integral transforms, has been discussed in the first section. The second section presents the basic definitions and fundamentals required to build a solid background for the work. The third section includes the basic definition of the proposed "Complex (Emad-Faruk-Ghaith) EFG" integral transform. The applicability of the transform to be utilized in solving ordinary and partial differential equations with practical applications is demonstrated in sections four and five, respectively. In section six, the usage of the complex EFG transform in solving Bessel's functions is represented through practical examples. Finally, section seven presents the discussions and conclusions about the concluded work.